| SUPER EFFICIENCY IN THE NEARLY CONE-SUBCONVEXLIKE VECTOR OPTIMIZATION WITH SET-VALUED FUNCTIONS |
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| 作者姓名： | 徐义红 刘三阳 |
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| 作者单位： | [1]DepartmentofAppliedMathematics,XidianUniversity,Xi＇an710071,China [2]DepartmentofMathematics,NanchangUniversity,Nanchang330047,China／／DepartmentofAppliedMathematics,XidianUniversity,Xi＇an710071,China |
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| 基金项目： | 国家自然科学基金，国家自然科学基金，国家重点基础研究发展计划(973计划) |
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| 摘 要： | Some properties for convex cones are discussed, which are used to obtain an equivalent condition and another important property for nearly cone-subconvexlike setvalued functions. Under the nearly cone-subconvexlikeness, some characterizations of the super efficiency are given in terms of scalarization and Lagrangian multipliers. Related results are generalized.
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| 关 键 词： | 给定值函数 微凸相锥 顶集优化 拉格朗日多项式 |
| 收稿时间： | 1 April 2002 |
SUPER EFFICIENCY IN THE NEARLY CONE-SUBCONVEXLIKE VECTOR OPTIMIZATION WITH SET-VALUED FUNCTIONS |
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| Xu Yihong,Liu Sanyang.SUPER EFFICIENCY IN THE NEARLY CONE-SUBCONVEXLIKE VECTOR OPTIMIZATION WITH SET-VALUED FUNCTIONS[J].Acta Mathematica Scientia,2005,25(1):152-160. |
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| Authors: | Xu Yihong Liu Sanyang |
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| Institution: | 1. Department of Mathematical Sciences, Indian Institute of Technology (BHU) Varanasi Uttar Pradesh–221005, India;2. Faculty of Civil Engineering, Slovak University of Technology, Bratislava, Radlinského 11, 810 05, Slovakia;3. Palacký University Olomouc, Faculty of Science, Department of Algebra and Geometry, 17. listopadu 12, Olomouc 771 46, Czech Republic;1. Biomedical Physics Laboratory, National Cancer Institute, P. Baublio 3B, LT08406 Vilnius, Lithuania;2. Life Science Center, Vilnius University, Sauletekio ave. 7, LT-10257 Vilnius, Lithuania;3. Department of Chemistry and Bioengineering, Vilnius Gediminas Technical University, Sauletekio ave. 11, LT-10223 Vilnius, Lithuania;4. Faculty of Mathematics and Informatics, Vilnius University, Naugarduko 24, LT-03225 Vilnius, Lithuania;5. Biophotonics group of Laser Research Centre, Vilnius University, Sauletekio ave 9, c.3, LT-10222 Vilnius, Lithuania |
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| Abstract: | Some properties for convex cones are discussed, which are used to obtain an equivalent condition and another important property for nearly cone-subconvexlike setvalued functions. Under the nearly cone-subconvexlikeness, some characterizations of the super efficiency are given in terms of scalarization and Lagrangian multipliers. Related results are generalized. |
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| Keywords: | Nearly cone-subconvexlikeness convex cones super efficiency scalarization Lagrangian multipliers |
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